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$f(x, y, z)=100 \sqrt{x+2 y-3 z},$ determine (a) $f(5,4,0)$, (b) $f(42,-4,-3)$

(a) $100 \sqrt{13}$(b) $100 \sqrt{43}$

Calculus 3

Chapter 6

An Introduction to Functions of Several Variables

Section 1

Functions of Several Variables

Partial Derivatives

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All right. We have a function in three variables which means we have three inputs and only one output. We're going to put in values of X, y and Z and just get one value at the end. So here we're putting in five for X, four for y and zero frizzy. So we have 100 is the root of. And wherever I see an XR at five. Right now I see why I write four and nervous cuz I write zero. Okay so that's a total of 100 times the root of 13. Second part. Um I have 100. And now everywhere I see an exit at 42 everywhere. I see why I write negative four and everywhere I see a Z. I write negative three arithmetic is a little bit harder. Now This is let's see the root of 40 to -8 plus nine. So The Root of 43. Okay. And none of those can be simplified. So we're done.

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